Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-04-16
Phys.Lett. B595 (2004) 301-308
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
10.1016/j.physletb.2004.05.069
We present an updated discussion of $K\ra\pi \bar{l} l$ decays in a combined framework of chiral perturbation theory and Large--$N_c$ QCD, which assumes the dominance of a minimal narrow resonance structure in the invariant mass dependence of the $ \bar{l} l$ pair. The proposed picture reproduces very well, both the experimental $K^+\ra\pi^+ e^+ e^-$ decay rate and the invariant $e^+ e^-$ mass spectrum. The predicted Br$(K_S\ra\pi^0 e^+ e^-)$ is, within errors, consistent with the recently reported result from the NA48 collaboration. Predictions for the $K\ra\pi \mu^{+}\mu^{-}$ modes are also obtained. We find that the resulting interference between the {\it direct} and {\it indirect} CP--violation amplitudes in $K_L\ra\pi^0 e^+ e^-$ is constructive.
Friot Samuel
Greynat David
Rafael Eduardo de
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